What is the Least Common Multiple of 33238 and 33252?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 33238 and 33252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33238 and 33252, than apply into the LCM equation.

GCF(33238,33252) = 2
LCM(33238,33252) = ( 33238 × 33252) / 2
LCM(33238,33252) = 1105229976 / 2
LCM(33238,33252) = 552614988

Least Common Multiple (LCM) of 33238 and 33252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33238 and 33252. First we will calculate the prime factors of 33238 and 33252.

Prime Factorization of 33238

Prime Factorization of 33252

Now multiplying the highest exponent prime factors to calculate the LCM of 33238 and 33252.

LCM(33238,33252) = 2² × 16619¹ × 3¹ × 17¹ × 163¹
LCM(33238,33252) = 552614988